What is the Least Common Multiple of 83456 and 83461?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 83456 and 83461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83456 and 83461, than apply into the LCM equation.

GCF(83456,83461) = 1
LCM(83456,83461) = ( 83456 × 83461) / 1
LCM(83456,83461) = 6965321216 / 1
LCM(83456,83461) = 6965321216

Least Common Multiple (LCM) of 83456 and 83461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83456 and 83461. First we will calculate the prime factors of 83456 and 83461.

Prime Factorization of 83456

Prime Factorization of 83461

Now multiplying the highest exponent prime factors to calculate the LCM of 83456 and 83461.

LCM(83456,83461) = 2⁹ × 163¹ × 7¹ × 11923¹
LCM(83456,83461) = 6965321216